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Finding the Fourth Proportional to 493,304.85, 739,908.81 and 334,401.57

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Solution

The fourth proportional to 493,304.85, 739,908.81 and 334,401.57 is: 501,569.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,304.85 : 739,908.81 = 334,401.57 : x
  2. Step 2: Convert to fraction form
    493,304.85/739,908.81 = 334,401.57/x
  3. Step 3: Cross multiply
    493,304.85x = 739,908.81 × 334,401.57
  4. Step 4: Simplify right side
    493,304.85x = 247,426,667,720.83
  5. Step 5: Solve for x
    x = 247,426,667,720.83/493,304.85
  6. Step 6: Final answer
    x = 501,569.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.